Quiz 3
Math 1060–5
Friday, September 14, 2012
Name:
Directions: Show all work for full credit. Clearly indicate all answers. Simplify all mathematical expressions completely. No calculators are allowed.
1. Consider the angle θ =
11π
.
3
(6 points each)
(a) Find the reference angle, θ0 .
(b) Using your answer to (1a), find sin θ and cos θ.
3
2. Given an angle θ in Quadrant II such that sin θ = , find the values of the six trigono5
metric functions of θ. (14 points)
3. Find the amplitude and period of, and graph each of the following trigonometric functions. Include at least two periods for each graph. (12 points each)
x
+2
(a) y = −3 sin
4
6
-
(b) y =
1
cos x
3
6
-